{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-10-26T06:46:35.622081Z",
     "start_time": "2020-10-26T06:46:33.631747Z"
    }
   },
   "outputs": [],
   "source": [
    "import librosa\n",
    "import librosa.display\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-10-26T06:56:16.024546Z",
     "start_time": "2020-10-26T06:56:15.780690Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "采样频率：22050\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "y, sr = librosa.load('./data/apple/apple01.wav')\n",
    "plt.plot(y)\n",
    "plt.title('Signal')\n",
    "plt.xlabel('Time (samples)')\n",
    "plt.ylabel('Amplitude')\n",
    "print(\"采样频率：%d\" % sr)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-10-26T06:49:02.668851Z",
     "start_time": "2020-10-26T06:49:02.662854Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(7426,)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-10-26T06:49:49.006291Z",
     "start_time": "2020-10-26T06:49:48.822398Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "n_fft = 2048\n",
    "ft = np.abs(librosa.stft(y[:n_fft], hop_length = n_fft+1))\n",
    "plt.plot(ft)\n",
    "plt.title('Spectrum')\n",
    "plt.xlabel('Frequency Bin')\n",
    "plt.ylabel('Amplitude')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-10-26T06:57:56.222132Z",
     "start_time": "2020-10-26T06:57:55.653449Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\"\"\"\n",
    "您可以将频谱图视为一堆相互堆叠的FFT。 当信号在不同频率下随时间变化时，这是一种直观地表示信号响度或幅度的方法。 \n",
    "计算频谱图时，还有一些其他细节。 \n",
    "y轴转换为对数刻度，颜色尺寸转换为分贝（您可以将其视为振幅的对数刻度）。 \n",
    "这是因为人类只能感知到非常小的集中频率和幅度范围。\n",
    "\"\"\"\n",
    "spec = np.abs(librosa.stft(y, hop_length=512))\n",
    "spec = librosa.amplitude_to_db(spec, ref=np.max)\n",
    "librosa.display.specshow(spec, sr=sr, x_axis='time', y_axis='log');\n",
    "plt.colorbar(format='%+2.0f dB')\n",
    "plt.title('Spectrogram')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-10-26T11:06:42.298249Z",
     "start_time": "2020-10-26T11:06:40.288685Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(128, 8)\n"
     ]
    }
   ],
   "source": [
    "\"\"\"\n",
    "mel谱图是频率转换为mel标度的谱图\n",
    "\"\"\"\n",
    "mel_spect = librosa.feature.melspectrogram(y=y, sr=sr, n_fft=2048, hop_length=1024)\n",
    "mel_spect = librosa.power_to_db(mel_spect, ref=np.max)  # 转换到对数刻度\n",
    "librosa.display.specshow(mel_spect, y_axis='mel', fmax=8000, x_axis='time')\n",
    "plt.title('Mel Spectrogram')\n",
    "plt.colorbar(format='%+2.0f dB')\n",
    "plt.show()\n",
    "print(mel_spect.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
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    "name": "ipython",
    "version": 3
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   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.0"
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  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
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   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  }
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